CONVERGENCE PROPERTIES OF THE PRECONVEX PART OF NON-QUASI-NEWTON''''S FAMILY
非拟牛顿非凸族的收敛性

In this paper, the non-quasi-Newton's family is investigated. A class of inexact linesearch procedures are used, which are combined with the non-quasi-Newton's family. We study the global convergence properties of the non-quasi-Newton's family, when applied to a convex objective function. We show global and superlinear convergence for this class methods on uniformly convex objective function.